Dynamically corrected gates for an exchange-only qubit

Abstract

We provide analytical composite pulse sequences that perform dynamical decoupling concurrently with arbitrary rotations for a qubit coded in the spin state of a triple quantum dot. The sequences are designed to respect realistic experimental constraints such as strictly nonnegative couplings. Logical errors and leakage errors are simultaneously corrected. A short pulse sequence is presented to compensate nuclear noise and a longer sequence is presented to simultaneously compensate nuclear and charge noise. The capability developed in this work provides a clear prescription for combatting the relevant sources of noise that currently hinder exchange-only qubit experiments.

5 pages, 3 figures, + 5 pages supplemental information

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Cited by in corpus (23)

• Three-electron spin qubits
• Quantifying error and leakage in an encoded Si/SiGe triple-dot qubit
• Ultrahigh-fidelity composite rotational quantum gates
• Characterizing gate operations near the sweet spot of an exchange-only qubit
• High-fidelity quantum control by polychromatic pulse trains
• Universal Set of Quantum Gates for Double-Dot Exchange-Only Spin Qubits with Intradot Coupling
• Robust Two-Qubit Gates for Exchange-Coupled Qubits
• Coherent transport in a linear triple quantum dot made from a pure-phase InAs nanowire
• Narrowband and passband composite pulses for variable rotations
• Composite pulses with errant phases
• Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
• Pulse sequences for suppressing leakage in single-qubit gate operations
• High-fidelity composite quantum gates for Raman qubits
• Leakage and sweet spots in triple-quantum-dot spin qubits: A molecular-orbital study
• Characterisation of an exchange-based two-qubit gate for resonant exchange qubits
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Hyperfine-induced dephasing in three-electron spin qubits
• Hybrid Exchange Measurement-Based Qubit Operations in Semiconductor Double Quantum Dot Qubits
• Ultrahigh-fidelity composite quantum phase gates
• Optimizing electrically controlled echo sequences for the exchange-only qubit
• Spin-qubit noise spectroscopy from randomized benchmarking by supervised learning
• Two-qubit logical operations in three quantum dots system
• Jenga-Krotov algorithm: Efficient compilation of multi-qubit gates for exchange-only qubits